Police search teams found Luke’s body on Monday after the 22-year-old failed to return from a night out in Yarm on Friday.
A GoFundMe page was set up with an initial target of £2,000, but more than £60,000 has been raised in just two days, with Shaw adding to this total.
A minute’s applause during the 22nd minute at Middlesbrough’s next match against Leeds has since been organised, with Boro goalkeeper Dimi Konstantopoulos calling on fans of the club to get involved on Saturday.
Six teenagers have been arrested by Cleveland Police on suspicion of manslaughter in connection with Luke’s death.
The 22-year-old trainee engineer, from Thornaby in North Yorkshire, vanished on a night out in Yarm on Friday.
Detectives are probing reports there was an ‘altercation’ outside a pub before he disappeared.
On Tuesday night around 1,000 people joined a vigil in memory of Luke.
His aunt Kelly Jobson thanked “Luke’s army” for coming to the vigil in Yarm, Teeside, which saw fireworks set off and mourners singing Angels by Robbie Williams.
Ribbons were tied to railings at the event as hundreds turned out to remember him.
An investigation into Luke’s sudden death is ongoing.